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Simplifying 3(x + 10) = 8(x) Reorder the terms: 3(10 + x) = 8(x) (10 * 3 + x * 3) = 8(x) (30 + 3x) = 8(x) Solving 30 + 3x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 30 + 3x + -8x = 8x + -8x Combine like terms: 3x + -8x = -5x 30 + -5x = 8x + -8x Combine like terms: 8x + -8x = 0 30 + -5x = 0 Add '-30' to each side of the equation. 30 + -30 + -5x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = 0 + -30 -5x = 0 + -30 Combine like terms: 0 + -30 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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